4d^2-22d+30=0

Solution for 4d^2-22d+30=0 equation:

Simplifying
4d2 + -22d + 30 = 0

Reorder the terms:
30 + -22d + 4d2 = 0

Solving
30 + -22d + 4d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -11d + 2d2) = 0

Factor a trinomial.
2((5 + -2d)(3 + -1d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -2d)' equal to zero and attempt to solve:

Simplifying
5 + -2d = 0

Solving
5 + -2d = 0

Move all terms containing d to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -2d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2d = 0 + -5
-2d = 0 + -5

Combine like terms: 0 + -5 = -5
-2d = -5

Divide each side by '-2'.
d = 2.5

Simplifying
d = 2.5
Subproblem 2
Set the factor '(3 + -1d)' equal to zero and attempt to solve:

Simplifying
3 + -1d = 0

Solving
3 + -1d = 0

Move all terms containing d to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1d = 0 + -3
-1d = 0 + -3

Combine like terms: 0 + -3 = -3
-1d = -3

Divide each side by '-1'.
d = 3

Simplifying
d = 3
Solution
d = {2.5, 3}